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13

Jun 27, 2018
06/18

by
Thomas Apel; Mariano Mateos; Johannes Pfefferer; Arnd Rösch

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A linear quadratic Dirichlet control problem posed on a possibly non-convex polygonal domain is analyzed. Detailed regularity results are provided in classical Sobolev (Slobodetskii) spaces. In particular, it is proved that in the presence of control constraints, the optimal control is continuous despite the non-convexity of the domain.

Topics: Optimization and Control, Mathematics, Numerical Analysis

Source: http://arxiv.org/abs/1505.00413

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6.0

Jun 29, 2018
06/18

by
Jakob Ablinger; Arnd Behring; Johannes Bluemlein; Abilio de Freitas; Carsten Schneider

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Using integration by parts relations, Feynman integrals can be represented in terms of coupled systems of differential equations. In the following we suppose that the unknown Feynman integrals can be given in power series representations, and that sufficiently many initial values of the integrals are given. Then there exist algorithms that decide constructively if the coefficients of their power series representations can be given within the class of nested sums over hypergeometric products. In...

Topics: Symbolic Computation, High Energy Physics - Phenomenology, Mathematical Physics, Computing Research...

Source: http://arxiv.org/abs/1608.05376

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108

Oct 23, 2014
10/14

by
Rhein, Cosima; Muhle, Christiane; Richter-Schmidinger, Tanja; Alexopoulos, Panagiotis; Doerfler, Arnd; Kornhuber, Johannes

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This article is from PLoS ONE , volume 9 . Abstract Background: In neuropsychiatric diseases with basal ganglia involvement, higher cognitive functions are often impaired. In this exploratory study, we examined healthy young adults to gain detailed insight into the relationship between basal ganglia volume and cognitive abilities under non-pathological conditions. Methodology/Principal Findings: We investigated 137 healthy adults that were between the ages of 21 and 35 years with similar...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3974758

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4.0

Jun 29, 2018
06/18

by
Jakob Ablinger; Arnd Behring; Johannes Blümlein; Abilio De Freitas; Alexander Hasselhuhn; Andreas von Manteuffel; Mark Round; Carsten Schneider; Fabian Wißbrock

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We report on progress in the calculation of 3-loop corrections to the deep-inelastic structure functions from massive quarks in the asymptotic region of large momentum transfer $Q^2$. Recently completed results allow us to obtain the $O(a_s^3)$ contributions to several heavy flavour Wilson coefficients which enter both polarised and unpolarised structure functions for lepton-nucleon scattering. In particular, we obtain the non-singlet contributions to the unpolarised structure functions...

Topic: High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1611.01104